Students will explore all of the algebraic concepts; both linear and nonlinear as well as functions, complex numbers and concepts approaching trigonometry. This course will fulfill all requirements for an Algebra 2 course and ready students for High School advanced topics in math including Pre-calculus concepts.
Students will explore all of the algebraic concepts; both linear and nonlinear as well as functions, complex numbers and concepts approaching trigonometry. This course will fulfill all requirements for an Algebra 2 course and ready students for High School advanced topics in math including Pre-calculus concepts. Students are expected to watch the recordings of the instructor’s lecture each week and come to class prepared to work problems with the class based on those lectures, along with answering questions on what they have watched.
Week One: Lessons 1-5
Topics to Include: Polygons: Negative Exponents; Evaluation of Expressions; Distributive Property; Word Problems
Week Two: Lessons 6-10
Topics to Include: Equations with Decimal Numbers; Percent; Polynomials; Percent Word Problems; Pythagorean Theorem
Week Three: Lessons 11-15
Topics to Include: Addition of Fractions; Equation of a Line; Substitution; Finding the Equation of a Line; Elimination
Week Four: Lessons 16-20
Topics to Include: Multiplication of Polynomials; Subscripted Variables; Ratio Word Problems; Value Word Problems; Simplification of Radicals
Week Five: Lessons 21-24
Topics to Include: scientific notation; uniform motion problems; graphical solutions; fractional expressions
Week Six: Lessons 25-28
Topics to Include: monomial factoring; trinomial factoring; rational expressions; complex fractions; uniform motion problems
Week Seven: Lessons 29-32
Topics to Include: Uniform Motion Problems; Deductive Reasoning; Negative Reciprocals; Quotient Theorem for Square Roots
Week Eight: Lessons 33-36
Topics to Include: Major Rules of Algebra; Uniform Motion Problems; Angles in Polygons; Contrived Problems
Week Nine: Lessons 37-40
Topics to Include: Chemical Compounds; Powers of Sums; Difference of Two Squares; Abstract Fractional Equations
Week Ten: Lessons 41-44
Topics to Include: Units; Estimating with Scientific Notation; Sine, Cosine, and Tangent; Solving Right Triangles
Week Eleven: Lessons 45-48
Topics to Include: Difference of Two Squares; More on Radical Expressions; Rate Unit Conversions; Radical Equations
Week Twelve: Lessons 49-52
Topics to Include: Linear Intercepts; Quadratic Equations; Imaginary Numbers; Chemical Mixture Problems
Week 13: Lessons 53-56
Topics to Include: Metric Conversions; Polar Coordinates; Abstract Equations; Angles in Circles
Week 14: Review and Final Exam
Course Materials: Saxon Algebra 2, third edition with the test and homeschool pack (www.setonbooks.com/saxon.php) a scientific calculator (TI 30X or the like), graph paper, ruler, protractor, compass, and pencil. Graphing calculators are useful, but not necessary. Instructor will provide a free weekly lecture in addition to the live, interactive classes.
Homework: Students should spend 6-8 hours a week on homework, taking a test once a week. Homework will be submitted to the instructor for grading and credit.